Question

what is a reflection rule that maps each triangle and its image? the reflection rule is r(x,y)=□, where the equation of line t is □. (simplify your answers.)

Explanation:

Step1: Identify the line of reflection

The line of reflection is \(y = -x\). The general rule for reflection over the line \(y=-x\) is obtained by swapping the \(x\) and \(y\) - coordinates and changing their signs.

Step2: Write the reflection rule

If we have a point \((x,y)\) and we reflect it over the line \(y = -x\), the new - point \((x',y')\) is given by \((x',y')=(-y,-x)\).

Answer:

\(r(x,y)=(-y,-x)\); \(y=-x\)